18 citations · 57 across the 9 of their papers we have counts for
8 papers · 1 filter
Microcausality and Tunneling Times in Relativistic Quantum Field Theory
Mohammed Alkhateeb, Alex Matzkin
We show, in the framework of a space-time resolved relativistic quantum field theory approach to tunneling, that microcausality precludes superluminal tunneling dynamics. More spec…
Relativistic Quantum Field Theory Approach to Wavepacket Tunneling: Lack of Superluminal Transmission
M. Alkhateeb, X. Gutierrez de la Cal, M. Pons +2
We investigate relativistic wavepacket dynamics for an electron tunneling through a potential barrier employing space-time resolved solutions to relativistic quantum field theory (…
Evolution of strictly localized states in non-interacting quantum field theories with background fields
M. Alkhateeb, A. Matzkin
We investigate the construction of spin-1/2 fermionic and spin-0 bosonic wave-packets having compact spatial support in the framework of a computational quantum field theory (QFT)…
Relativistic Bohmian trajectories and Klein-Gordon currents for spin-0 particles
M. Alkhateeb, A. Matzkin
It is generally believed that the de Broglie-Bohm model does not admit a particle interpretation for massive relativistic spin-0 particles, on the basis that particle trajectories…
Space-time resolved quantum field approach to Klein tunneling dynamics across a finite barrier
M. Alkhateeb, A. Matzkin
We investigate Klein tunneling through finite potential barriers with space-time resolved solutions to relativistic quantum field equations. We find that no particle actually tunne…
Klein paradox for bosons, wave packets and negative tunnelling times
X. Gutiérrez de la Cal, M. Alkhateeb, M. Pons +2
We analyse a little known aspect of the Klein paradox. A Klein-Gordon boson appears to be able to cross a supercritical rectangular barrier without being reflected, while spending…
Relativistic spin-0 particle in a box: bound states, wavepackets, and the disappearance of the Klein paradox
M. Alkhateeb, A. Matzkin
The "particle in a box" problem is investigated for a relativistic particle obeying the Klein-Gordon equation. To find the bound states, the standard methods known from elementary…
Relativistic time-dependent quantum dynamics across supercritical barriers for Klein-Gordon and Dirac particles
M. Alkhateeb, X. Gutierrez de la Cal, M. Pons +2
We investigate wavepacket dynamics across supercritical barriers for the Klein-Gordon and Dirac equations. Our treatment is based on a multiple scattering expansion (MSE). For spin…